GCD of 92, 99, 21, 16 Calculator

Given Input numbers are 92, 99, 21, 16

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Greatest Common Divisior

We found the divisors of 92, 99, 21, 16 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 99, 21, 16 is 1.

Therefore, GCD of numbers 92, 99, 21, 16 is 1

Given Input Data is 92, 99, 21, 16

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 16 is 2 x 2 x 2 x 2

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(92, 99) = 9108

GCD(92, 99) = ( 92 x 99 ) / 9108

GCD(92, 99) = 9108 / 9108

GCD(92, 99) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 16

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 16) = 16

GCD(1, 16) = ( 1 x 16 ) / 16

GCD(1, 16) = 16 / 16

GCD(1, 16) = 1

GCD of 92, 99, 21, 16 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 55, 86, 65
• GCD of 92, 53, 97, 71
• GCD of 29, 57, 67, 38
• GCD of 36, 43, 63, 49
• GCD of 23, 21, 40, 69

1. What is the GCD of 92, 99, 21, 16?

GCD of 92, 99, 21, 16 is 1

2. Where do I get the detailed procedure to find GCD of 92, 99, 21, 16?

You can find a detailed procedure to find GCD of 92, 99, 21, 16 on our page.

3. How to find GCD of 92, 99, 21, 16 on a calculator?

You can find the GCD of 92, 99, 21, 16 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.